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Fuzzy stationary Schrödinger equation with correlated fuzzy boundaries

  • Fuzzy systems and their mathematics
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Abstract

This article introduces the space of A-linearly correlated fuzzy complex numbers. Using this space, we study the stationary Schrödinger equation with boundary conditions are given by fuzzy complex numbers. This equation plays an special role in Quantum Mechanics describing the state of the system. We apply the formalism to the step potential, generating quantum results consistent with traditional quantum results.

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Funding

This study was partially supported by National Council for Scientific and Technological Development (CNPq) under grants no. 313313/2020-2, 314885/2021-8, 314464/2021-2 and 312379/2021-81.

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Author notes

  1. Estevão Esmi, Sérgio Martins de Souza, Onofre Rojas and Laécio Carvalho de Barros contributed equally to this work.

Authors and Affiliations

  1. Institute of Applied Social Sciences, Federal University of Alfenas, Varginha, Brazil

    Silvio Antonio Bueno Salgado

  2. Department of Applied Mathematics, University of Campinas, Campinas, Brazil

    Estevão Esmi & Laécio Carvalho de Barros

  3. Physics Department, Federal University of Lavras, Lavras, Brazil

    Sérgio Martins de Souza & Onofre Rojas

Authors
  1. Silvio Antonio Bueno Salgado
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  2. Estevão Esmi
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  3. Sérgio Martins de Souza
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  4. Onofre Rojas
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  5. Laécio Carvalho de Barros
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These authors contributed equally to this work.

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Correspondence to Silvio Antonio Bueno Salgado.

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Salgado, S.A.B., Esmi, E., de Souza, S.M. et al. Fuzzy stationary Schrödinger equation with correlated fuzzy boundaries. Soft Comput 28, 1943–1955 (2024). https://doi.org/10.1007/s00500-023-09488-9

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